S is the product of a list of consecutive integers from 1 to : Quant Question Archive [LOCKED]
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 03:07

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# S is the product of a list of consecutive integers from 1 to

Author Message
Intern
Joined: 11 May 2004
Posts: 46
Location: USA
Followers: 0

Kudos [?]: 4 [0], given: 0

S is the product of a list of consecutive integers from 1 to [#permalink]

### Show Tags

15 Jun 2006, 14:20
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

S is the product of a list of consecutive integers from 1 to 24, and 10k is a factor of S. What is the largest k?

A. 1
B. 2
C. 3
D. 4
E. 5

VP
Joined: 02 Jun 2006
Posts: 1267
Followers: 2

Kudos [?]: 80 [0], given: 0

### Show Tags

15 Jun 2006, 14:42
I am stumped... what is 10K? Is it 10xk or is k the unit's digit of the number 10k?

Do you mean 10^k

If it is 10^k, then the answer D makes sense and here's how.

S= 1x2x3x4x5....x24
= 2x5x10x15x20x (prod of the rest)
= 10 x 10 x 5x3 x 5x4 x P
= 10 x 10 x 10 x 10 x 3xP
= 10^4 xP'

Therefore k max value is 4.
Director
Joined: 16 Aug 2005
Posts: 945
Location: France
Followers: 1

Kudos [?]: 23 [0], given: 0

### Show Tags

15 Jun 2006, 14:55
haas_mba07 wrote:
I am stumped... what is 10K? Is it 10xk or is k the unit's digit of the number 10k?

Do you mean 10^k

If it is 10^k, then the answer D makes sense and here's how.

S= 1x2x3x4x5....x24
= 2x5x10x15x20x (prod of the rest)
= 10 x 10 x 5x3 x 5x4 x P
= 10 x 10 x 10 x 10 x 3xP
= 10^4 xP'

Therefore k max value is 4.

Yea this approach is right, you just need to collect all the 2x5 and see how many 10s you get in the product
_________________

I believe its yogurt!

Director
Joined: 06 May 2006
Posts: 792
Followers: 3

Kudos [?]: 32 [0], given: 2

### Show Tags

16 Jun 2006, 00:06
Yep. Assuming 10^k, answer is 4. Find the number of 5s.
16 Jun 2006, 00:06
Display posts from previous: Sort by